EXPLICIT FORMULAS FOR MINIMAX ADMISSIBLE ESTIMATORS IN SOME CASES OF RESTRICTIONS IMPOSED ON THE PARAMETER.
WASHINGTON UNIV SEATTLE LAB OF STATISTICAL RESEARCH
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It has been known that an estimator which is minimax or admissible, or both, when the parameter ranges over the entire natural parameter space, may lose one or both properties if the variability of the parameter is restricted to a proper subset of the natural parameter space. In this paper two examples are discussed in detail where the parameter is so restricted, and yet it is possible to obtain explicit formulas for estimators which are admissible in some restricted class. Author